A television producer designed a program that will include a comedy and advertisements. The advertiser insists on at least 4 minutes of advertising time. The producer insists on not more than 8 minutes of advertisement. The comedian insists on at least 5 minutes of the comedy portion. The total time allotted for the comedy and advertisement cannot exceed one hour. If it has been determined that each minute of advertising attracts 400,000 viewers and each minute of the comedy program attracts 405,000 viewers, how many minutes should be given to each of the comedy and advertisement in order to maximize the number of viewers?
For this linear programming problem, formulate the linear programming model. Then, find the optimal solution graphically for the LP with only 2 variables.
i.e:
Max Z = 500x + 300y
Subject to:
4x + 2y <= 60 (1st constraint)
2x + 4y <= 48 (2nd constraint)
x, y >= 0 (non-negativity)
A television producer designed a program that will include a comedy and advertisements. The advertiser insists on at least 4 minutes of advertising time. The producer insists on not more than 8 minutes of advertisement. The comedian insists on at least 5 minutes of the comedy portion. The total time allotted for the comedy and advertisement cannot exceed one hour. If it has been determined that each minute of advertising attracts 400,000 viewers and each minute of the comedy program attracts 405,000 viewers, how many minutes should be given to each of the comedy and advertisement in order to maximize the number of viewers?
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